Question: A rectangular box has sides measuring x cm, x + 3 cm and 2x cm. a. Write down an expression for the volume of the

A rectangular box has sides measuring x cm, x + 3 cm and 2x cm.


xcm x + 3 cm Figure 1 2x cm


a. Write down an expression for the volume of the box. Given that the volume of the box is 980 cm3,


b. Show that x3 + 3x2 − 490 = 0.


c. Show that x = 7 is a solution to this equation.


d. Prove that the equation has no other real solutions.

xcm x + 3 cm Figure 1 2x cm

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